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Simplifying 20 = -5x2 + 20x Reorder the terms: 20 = 20x + -5x2 Solving 20 = 20x + -5x2 Solving for variable 'x'. Reorder the terms: 20 + -20x + 5x2 = 20x + -20x + -5x2 + 5x2 Combine like terms: 20x + -20x = 0 20 + -20x + 5x2 = 0 + -5x2 + 5x2 20 + -20x + 5x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 20 + -20x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(4 + -4x + x2) = 0 Factor a trinomial. 5((2 + -1x)(2 + -1x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {2, 2}
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